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Complex systems, such as the power grid, are essential for our daily lives. Many complex systems display (multi-)fractal behavior, correlated fluctuations and power laws. Whether the power-grid frequency, an indicator about the balance on…

Short term electricity price forecast is essential in competitive power markets, yet electricity price series exhibit high volatility, irregularity, and non-stationarity. This phenomenon is pronounced in the South Australian region of the…

Machine Learning · Computer Science 2026-04-28 Wei Lu , Jay Wang , Dingli Duan , Ding Mao , Caiyi Song , John Huang

We constructed an analog electrical circuit which generates fluctuations in which probability density function has power law tails. In the circuit fluctuations with an arbitrary exponent of the power law can be obtained by adjusting the…

Statistical Mechanics · Physics 2008-12-10 Aki-Hiro Sato , Hideki Takayasu

This paper provides an innovative perspective on the role of gold as a hedge and safe haven. We use a quantile-on-quantile regression approach to capture the dependence structure between gold returns and changes in uncertainty under…

Risk Management · Quantitative Finance 2018-06-21 Jamal Bouoiyour , Refk Selmi , Mark Wohar

Energy markets and the associated energy futures markets play a crucial role in global economies. We investigate the statistical properties of the recurrence intervals of daily volatility time series of four NYMEX energy futures, which are…

Statistical Finance · Quantitative Finance 2013-12-31 Wen-Jie Xie , Zhi-Qiang Jiang , Wei-Xing Zhou

To ensure reliable operation of power grids, their frequency shall stay within strict bounds. Multiple sources of disturbances cause fluctuations of the grid frequency, ranging from changing demand over volatile feed-in to energy trading.…

Statistical Finance · Quantitative Finance 2021-03-29 Benjamin Schäfer , Marc Timme , Dirk Witthaut

In this paper we discuss the problem of the estimation of extreme event occurrence probability for data drawn from some multifractal process. We also study the heavy (power-law) tail behavior of probability density function associated with…

Statistical Mechanics · Physics 2009-11-11 Jean-Francois Muzy , Emmanuel Bacry , Alexey Kozhemyak

We study convexity and monotonicity properties for prices of bonds and bond options when the short rate is modeled by a diffusion process. We provide conditions under which convexity of the price in the short rate is guaranteed. Under these…

Analysis of PDEs · Mathematics 2008-12-10 Erik Ekstrom , Johan Tysk

Electricity price forecasts are typically evaluated using accuracy measures such as RMSE and MAE, although these metrics often fail to reflect their economic value in operational decisions. This paper investigates which statistical…

Computational Finance · Quantitative Finance 2026-04-01 Katarzyna Maciejowska , Arkadiusz Lipiecki , Bartosz Uniejewski

Realization of uncertainty of prices is captured by volatility, that is the tendency of prices to vary along a period of time. This is generally measured as standard deviation of daily returns. In this paper we propose and investigate the…

Computational Finance · Quantitative Finance 2017-05-04 Luigi Troiano , Elena Mejuto Villa , Pravesh Kriplani

A statistical generalization is made of microeconomics in the spirit of going from classical to statistical mechanics. The price and quantity of every commodity1 traded in the market, at each instant of time, is considered to be an…

General Finance · Quantitative Finance 2012-12-03 Belal E. Baaquie

In the present work we investigate the multiscale nature of the correlations for high frequency data (1 minute) in different futures markets over a period of two years, starting on the 1st of January 2003 and ending on the 31st of December…

Statistical Finance · Quantitative Finance 2009-11-13 M. Bartolozzi , C. Mellen , T. Di Matteo , T. Aste

This paper compares alternative univariate versus multivariate models, frequentist versus Bayesian autoregressive and vector autoregressive specifications, for hourly day-ahead electricity prices, both with and without renewable energy…

Econometrics · Economics 2019-11-13 Angelica Gianfreda , Francesco Ravazzolo , Luca Rossini

This paper examines how shocks to currency volatilities predict exchange rates. Using option-implied volatilities, we construct a dynamic, directed network of volatility connections. Currencies that transmit more volatility shocks, which…

General Finance · Quantitative Finance 2026-03-12 Mykola Babiak , Jozef Barunik

Consider the problem of pricing options on forwards in energy markets, when spot prices follow a geometric multi-factor model in which several rates of mean reversion appear. In this paper we investigate the role played by slow mean…

Mathematical Finance · Quantitative Finance 2016-02-11 Maren Diane Schmeck

Electricity price forecasting is a critical tool for the efficient operation of power systems and for supporting informed decision-making by market participants. This paper explores a novel methodology aimed at improving the accuracy of…

Applications · Statistics 2025-01-13 Bartosz Uniejewski , Florian Ziel

Fractal time series has been shown to be self-affine and are characterized by a roughness exponent H. The exponent H is a measure of the persistence of the fluctuations associated with the time series. We use a recently introduced method…

Statistical Mechanics · Physics 2007-05-23 J. R. Sanchez , C. M. Arizmendi

The future energy system will largely depend on volatile renewable energy sources and temperature-dependent loads, which makes the weather a central influencing factor. This article presents a novel approach for simulating weather scenarios…

Systems and Control · Electrical Eng. & Systems 2024-05-31 Jan Peper , David Kröger , Jonathan Kipp , Florian Ziel , Christian Rehtanz

The United States' power market is featured by the lack of judicial power at the federal level. The market thus provides a unique testing environment for the market organization structure. At the same time, the econometric modeling and…

Econometrics · Economics 2018-06-13 Chelsea Sun

We propose a new model for electricity pricing based on the price cap principle. The particularity of the model is that the asset price is an exponential functional of a jump L\'evy process. This model can capture both mean reversion and…

Pricing of Securities · Quantitative Finance 2019-06-27 Martin Kegnenlezom , Patrice Takam Soh , Antoine-Marie Bogso , Yves Emvudu Wono